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Finding the Fourth Proportional to 78,301.15, 108,055.87 and 42,491.15

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Solution

The fourth proportional to 78,301.15, 108,055.87 and 42,491.15 is: 58,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,301.15 : 108,055.87 = 42,491.15 : x
  2. Step 2: Convert to fraction form
    78,301.15/108,055.87 = 42,491.15/x
  3. Step 3: Cross multiply
    78,301.15x = 108,055.87 × 42,491.15
  4. Step 4: Simplify right side
    78,301.15x = 4,591,417,939.25
  5. Step 5: Solve for x
    x = 4,591,417,939.25/78,301.15
  6. Step 6: Final answer
    x = 58,637.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.